Cylinder events - MathOverflow most recent 30 from http://mathoverflow.net2013-05-19T18:11:31Zhttp://mathoverflow.net/feeds/question/109315http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/109315/cylinder-eventsCylinder eventsMathstack2012-10-10T18:21:01Z2012-10-10T18:21:01Z
<p>If E is countable. Let F be the power set of E. For some event A in F, is it true that the B_n below approximates A (as a Caratheodory extension)?</p>
<p>B_n = { [w(0),w(1),w(2),..,w(n)] : w in A } </p>
<p>I mean stronger, do B_n in a set theory sense converge to A?</p>